Dynamics Seminar

Dzmitri Dudko

(Göttingen)

"On the hyperbolicity of renormalization operators"


Date: Tue, November 12, 2013
Time: 14:15
Place: Research I Seminar Room

Abstract: A small copy of the Mandelbrot set defines a certain renormalization operator on the space of quadratic-like polynomials. The hyperbolicity of such operator implies, for instance, strong consequences to the geometry of the Mandelbrot set. We will give an overview of this topic; we will roughly follow http://www.jstor.org/stable/120968.